# Math 152, WT2 2017, Section 205

The main website for all sections of Math 152 is here.

If you need to get ahold of me, the best way is through email: elyse@math.ubc.ca.
My office is in the Mathematics Building (behind the Koerner library), room 229F.

MT1 Solutions

## Office Hours

Mondays, 10-11 am
Fridays, 1-3 pm (after class)
All office hours will be in the Mathematics Building, room 229F, unless otherwise mentioned.
Office hours end on the last day of classes.

## Textbook

Our class uses a free online textbook, and homework consists of MatLab assignments and WebWork. Therefore, you do not need to purchase any textbook for this course.

That being said, there is an optional textbook: Introduction to Linear Algebra for Science and Engineers, by Norman and Wolczuk. If you would like additional problems to practice, this book is a good place to start. Since we're not assigning problems out of it, it doesn't matter which edition you choose.

If you'd like a very partial list of things to memorize for the first sections, here's one. Disclaimer: this is not meant to be a complete list of topics, and is not guaranteed to be typo-free. This should be one part of your studying, together with the online notes, learning goals, lectures, and other materials from the main course website such as old exams.

The worksheet for Friday, January 27 with old midterm problems is here. The solutions to these and other old midterms are on the main course webpage.

## Slides

Sections Topics Dates File
Introduction Jan 5 Welcome to Math 152
2.2, 2.3 Vectors and coordinates; geometric aspects of vectors Jan 5-9 1vectors.pdf
2.4, 2.5 Determinants, cross products, parametric equations of lines and planes Jan 9-16 2determinants_and_planes.pdf
2.6, 3.1 Geometry of solutions of linear systems; linear dependence and independence;
solving linear systems.
Jan 16-20 3IntroLinearSystems.pdf
3.2-3.4 Solving linear systems (cont.); echelon form and rank;
homogeneous equations and relationship to linear dependence
Jan 20-30 4SolvingLinearSystems.pdf
3.5 Reistor Networks Jan 30-Feb 3 5Circuits.pdf
3.5, 4.1, 4.2 matrix multiplication; linear transformations; rotations in 2D Feb 6-10 6MultAnd LinTrans.pdf
4.2, 4.3, 4.4 Rotations, projections and reflections in 2D;
matrix representation and composition of linear transformations;
random walks; transpose
Feb 15-27 7TransformationsRandomWalks.pdf
4.5, 4.6 Matrix inverse; determinants March 1-6 8InverseAndDeterminant.pdf
5.1, 5.2, 5.3, 5.4 Complex numbers; complex exponential and polar form March 7-10 9ComplexNumbers.pdf
ComplexDeterminantPractice.pdf
6.1 Eigenvalues and eigenvectors March 13 10Eigen.pdf
6.1, 6.2 Eigenvalues and eigenvectors, continued; powers of a matrix;
application of eigen-analysis to random walks
March 15-20 11EigenFurther.pdf
6.3 Vector differential equations March 22-27 12DiffEq.pdf

Videos: solving a linear differential equation with both real and complex eigenvalues.
Part 1: finding eigenvalues and eigenvectors
Part 2: finding the general solution

6.4 Application of vector DEs to electrical networks March 27- 13LCR.pdf

## Resources

Lots of people find their first few years in university challenging. If you find yourself struggling, I hope you'll take advantage of some of the resources available to you on campus.

### Help with Registration

If you have problems registering in a math course, please find the appropriate math advisor.

If you have questions related to your major, like which flavour of calculus you should be taking, OR if you have a major life event that might prevent you from completing the semester, you should talk to your faculty advisor.

### Help with Course Content

It's good for your brain to work hard! But if you find yourself feeling overwhelmed, please do take advantage of some of these marvellous resources available to you.
• The Math Learning Center is staffed with tutors, and you can go there to meet other students. More information here: Math Learning Center.
• Other students in the course are an important resource. Ask the person sitting next to you if they want to work on homework together, or meet at a coffee shop to study for the next exam. Talking to strangers is hard, but having a community is helpful and important. If someone asks for help, keep in mind that teaching someone is a fantastic learning opportunity. Being able to do a problem on the homework is great, but often we learn even more when we're put in the position of explaining it to someone else.
• Free tutoring: AMS. For independent, paid tutors, check bulletin boards around the math building.
• The internet has pretty much everything. There's our class discussion board, where you can pose a question to the class. Apart from the CLP notes and problem book, there's lots of free online textbooks and notes you can search for. (I recommend MOOCulus and APEX Calculus in particular, but find a textbook that clicks for you.) There's also tutoring videos, like Khan Academy. If you look hard enough, the UBC pages have old exams.
• Talk to your teacher! Office hours are time I set aside to meet with students. You can grab me after class or email me at elyse@math.ubc.ca to ask a short question, or schedule an in-person meeting if office hours don't work for you.

### Help with Other Issues

Student Services at UBC has a variety of programs to help you stay happy and healthy. A good place to start is here: LiveWell

UBC provides services to address, among other things: illness and injury, mental health and wellbeing, sexual assault (for people of all genders), other violence, discrimination and harrassment, diversity, disability, and ongoing medical considerations. If you have legal issues, you might be able to get help from the Law Students' Legal Advice Program. The Office of Equity and Inclusion is a good place to go if you want more information about maintaining an environment that is respectful, especially with regards to interculturality, LGBT*QIA status, race, students who are parents, etc. The Office of Access and Diversity provides disability support.

If something comes up during the semester that interferes with your academic progress (such as an illness, or caring for a loved one) contact your faculty advising office as soon as possible. You can find them here.

The province has an excellent website with information on mental health, including an online screening tool and resources: Here To Help. The Vancouver Access & Assessment Centre (AAC) is a point of entry for concerns about mental health and substance abuse, and they also have a call line if you just want to talk to someone. Education is a tool for a better life, from increased earning potential to a heightened appreciation for the beauty and complexity in the world. Your real life extends far beyond the boundaries of this campus. It's important that you don't let your education interfere with your physical or emotional health.

### Addressing Issues with the Course

Full disclosure: I'm not a perfect instructor. If there's something about this course that bothers you, I'd like the chance to address it. You can contact me in person after class or during office hours, or write me an email. If you are uncomfortable discussing it with me, you can talk to the Instructor in Charge, Professor Brian Wetton: wetton@math.ubc.ca.

If it isn't feasible to change the thing that's bothering you, we still might be able to come up with strategies for addressing it. At the very least, you can get an explanation of why things are the way they are.

See you in class!